An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.Weight (pounds), x Miles per Gallon, y3648 163847 172709 253550 183286 202922 233654 172533 253427 183809 173372 19A) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.y with caret = ___x + ___(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)B) Interpret the slope and​ y-intercept, if appropriate.C) A certain? gas-powered car weighs 3600 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this? weight?D) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?

Answer:

"Some people boast of having a sixth sense..."

Step-by-step explanation:

The author of these statements emphasised that our senses lack precision with the statement - "Some people boast of having a sixth sense..."

This implies that no one of the five senses (smell, touch, taste, hearing, and sight) is being used for an action. Rather an intuitive sixth sense is being used. So the five senses lack precision.

The other options emphasise various senses:

- "Among our five senses, sight is the most special to us." Emphasises sight.is precise

- "Our .. eyes have no trouble spotting a lone match... across a darkened auditorium." Implies sight is precise

- "Increase it (a sound's volume] by a factor of 2 and you will barely notice." Implies precision of hearing. An increase by a factor of 2 is imperceptible

Answer:

$0.93

Step-by-step explanation:

6.51 / 7 = 0.93

Answer:between 5 and 5 1/2 inches

Step-by-step explanation:

Answer

$200,000

Step-by-step explanation:

She invested $100,000

5% of $100,000 is $5,000.

After 20 years, (5,000 X 20 years) = $100,000

Starting balance of $100,000 + $100,000 = $200,000

The total amount in 20% with simple interest for over 20 years will be $200,00.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P =$100000

Rate of interest R = 5%

Time period T = 20 years

Total amount = Principal amount + interest

Total amount = P + PRT/100

Total amount = 100000 + (100000 x 5 x 20)/100

Total amount = $200,000

Hence "The total amount in 20% with simple interest for over 20 years will be $200,00".

For more about simple interests

https://brainly.com/question/25845758

#SPJ3

-2z+10+7z = 16z+7

Simplify the left side:

5z+10 = 16z +7

Subtract 5z from both sides:

10 = 11z + 7

Subtract 7 from both sides:

3 = 11z

Divide both sides by 11

Z = 3/11

There is only one solution, which is z= 3/11

Steps to solve:

−2z + 10 + 7z = 16z + 7

~Combine like terms

(-2z + 7z) + 10 = 16z + 7

~Simplify

5z + 10 = 16z + 7

~Subtract 16z to both sides

5z - 16z + 10 = 16z - 16z + 7

~Simplify

-11z + 10 = 7

~Subtract 10 to both sides

-11z + 10 - 10 = 7 - 10

~Simplify

-11z = -3

~Divide -11 to both sides

-11z/-11 = -3/-11

~Simplify

z = 3/11

Best of Luck!

Answer:

24

Step-by-step explanation:

1: Divide 120 by 5 = 24

Answer: 24

Hope this helps.

Answer:

C) Matched pairs

Step-by-step explanation:

Matched samples (also called matched pairs, paired samples or dependent samples) is a type of sampling that involves pairing participants that share every characteristic except for the one under study. The paired participants could be same individuals studied at different time such as:

Answer:

The answer is 3.

Step-by-step explanation:

In oder to find the value of x you have to let f(x) = 29 :

[tex]f(x) = 9x + 2[/tex]

Let f(x) = 29

[tex]9x + 2 = 29[/tex]

Next, you have to solve x by substracting 2 and divide 9 to both sides :

[tex]9x + 2 = 29[/tex]

[tex]9x + 2 - 2 = 29 - 2[/tex]

[tex]9x = 27[/tex]

[tex]9x \div 9 = 27 \div 9[/tex]

[tex]x = 3[/tex]

Answer:

Answer shown below.

Step-by-step explanation:

For 29;

It means f(x)= 9x + 2 =29

Therefore; 9x =29-2=27

9x = 27

X=27/9

x=3

Answer:

a) Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539

b) [tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=49-1=48[/tex]  

The p value is given by:

[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]  

c) [tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]    

[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]    

d) For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval

Step-by-step explanation:

Part a and b

Data given

[tex]\bar X=7359[/tex] represent the sample mean

[tex]\sigma=840[/tex] represent the population standard deviation

[tex]n=49[/tex] sample size  

[tex]\mu_o =7539[/tex] represent the value to test

t would represent the statistic  

[tex]p_v[/tex] represent the p value

Hypothesis to verify

We want to verify if the mean life is different from 7539 hours, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 7539[/tex]  

Alternative hypothesis:[tex]\mu < 7539[/tex]  

The statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=49-1=48[/tex]  

The p value is given by:

[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539

Part c

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

We can find the critical value using the confidence level given of 95% and using the t distribution with 48 degrees of freedom we got [tex]t_{\alpha/2}=\pm 2.01[/tex]

Now we have everything in order to replace into formula (1):

[tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]    

[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]    

Part d

For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval

Answer:

21  Square Units

Step-by-step explanation:

edge 2020

Answer:

[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]

And replacing we got:

[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]

And then the final term would be:

[tex] -560 x^4 y^3[/tex]

Step-by-step explanation:

For this case we have the following expression:

[tex] (2x-y)^7[/tex]

And we can use the binomial theorem given by:

[tex] (x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}[/tex]

And for this case we want to find the fourth term and using the formula we have:

[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]

And replacing we got:

[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]

And then the final term would be:

[tex] -560 x^4 y^3[/tex]

Answer:

a) The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Step-by-step explanation:

For each shot, there are only two possible outcomes. Either the player makes it, or he does not. The probability of making a shot is independent of other shots. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A basketball player has made 60​% of his foul shots during the season.

This means that [tex]p = 0.6[/tex]

a) Misses for the first time on his sixth attempt

Makes the first five, which is P(X = 5) when n = 5.

Misses the sixth, with probability = 1-0.6 = 0.4.

So

[tex]p = 0.4P(X = 5)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.4P(X = 5) = 0.4*(C_{5,5}.(0.6)^{5}.(0.4)^{0}) = 0.0311[/tex]

The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) Makes his first basket on his fifth shot

Misses the first four, which is P(X = 0) when n = 4.

Makes the fifth, with a probability of 0.6.

So

So

[tex]p = 0.6P(X = 0)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.6P(X = 0) = 0.6*(C_{4,0}.(0.6)^{0}.(0.4)^{4}) = 0.0154[/tex]

The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) Makes his first basket on one of his first 3 shots

Either he makes his first basket on one of his first 3 shots, or he misses all of them. The sum of these probabilities is decimal 1.

Misses the first three:

P(X = 0) when n = 3. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064[/tex]

Makes on one of his first three:

1 - 0.064 = 0.936

The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Answer:

Step-by-step explanation:

The probability that the basket player made a foul shot is 60% which is 0.60

Then the probability of good shot is 1 - 0.60 = 0.40

P = 0.40

a) the probability that the basket player misses for the first time on his sixth attempt ​is

P (first time on his sixth attempt) = (1 - P)⁵ (P)

= (1 - 0.4)⁵(0.4)

= (0.6)⁵(0.4)

= 0.07776 * 0.4

= 0.031104

≅ 0.0311

The probability that​  the basketball player misses for the first time on his sixth attempt is 0.0311

b) P(first basket on his fifth shot) = (1 - P)³ (P)

= (1 - 0.4)⁴(0.4)

= (0.60)⁴(0.4)

= 0.0518

c) The probability of making his first basket in first shot is 0.6

and the  probability of making his first basket in second shot is

0.6 * 0.4 = 0.24

the  probability of making his first basket in third shot is

0.6 * 0.4² = 0.096

So, the probability that the player makes his first basket on one of his first 3 shots is

= 0.6 + 0.24 + 0.096

= 0.936

Thus, the probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

Answer:

choice 3 3√7

Step-by-step explanation:

Answer:

3√7.... that the answer

Answer:

36 inches

Step-by-step explanation:

You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.

Answer:

10/24 15/36

Step-by-step explanation:

you can just multiply each one by the same number

Answer:

5:12, 10:24

Step-by-step explanation:

You can convert fractions into ratios with x/y ⇒x:y

5/12 = 5:12

5/12 x 2 = 10/24

10/24 = 10:24

someone reported my answer -_-

Answer:

yes it is likely. the chances of her getting a colored shirt is 95% or 19/20

Answer:

I guess you want to find the lenght of the sides and the other angle, so let's do that:

We know that the base has a length of 14 cm.

The two base angles are 68°

First, we can find the other angle knowing that the sum of all interior angles of a triangle must add up to 180°.

2*68° + X = 180°

X = 180° - 2*68° = 44°

Now let's find the length of the sides (that is the same for both sides, as we have an isosceles triangle.

For this we can draw a line for the middle of the base that goes through the top vertex, creating in this way a triangle rectangle.

We know that one of the cathetus will have half of the length of the base, this is 7cm.

the adjacent angle to this cathetus is 68°, now we want to find the hypotenuse of this triangle, we can use the relation:

Cos(A) = adjacent cathetus/hypotenuse:

Cos(68°) = 7cm/H

H = 7cm/cos(68) = 18.7cm

this hypotenuse is equal to the side length of our isosceles triangle, so now we have it fully determined.

Answer:

3√5 thats the answer i glad yo me helping you

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

[tex]\sinh(x)=\frac{e^{x}-e^{-x}}{2}[/tex]

[tex]\cosh(x)=\frac{e^{x}+e^{-x}}{2}[/tex]

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that [tex]e^{0}=1[/tex]. Then,

[tex]\sinh(0) = \frac{1-1}{2}=0[/tex]

[tex]\cosh(0) = \frac{1+1}{2}=1 [/tex]

For the end behavior, recall the following:

[tex]\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0[/tex]

[tex]\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty[/tex]

Using the properties of limits, we have that

[tex]\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty[/tex]

[tex]\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty[/tex]

[tex]\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty[/tex]

[tex]\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty[/tex]

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

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Answer:

A box contains 5 green pencils and 7 yellow pencils.

Two pencils are chosen at random from the box without replacement.

=> There are two cases:

1st pick green & 2nd pick yellow: P = 5/12 x 7/11 = 0.265

1st pick yellow & 2nd pick green: P = 7/12 x 5/11 = 0.265

Add up both cases, the probability they are different colors:

P = 0.265 + 0.265 = 0. 53

Hope this helps!

:)

Answer: 1.3 hours

Step-by-step explanation: I believe it’s 1.3 hours since Pump A can fill a tank in 8 hours, and Pump B can fill a tank in 6 hours, then you divide 8 and 6 which is about 1.333.

Answer:

3.43 hours

Step-by-step explanation:

For every hour, Pump A can fill 1/8 tank and pump B can fill 1/6 tank.

For every hour, both pump A and pump B can fill:

1/8 + 1/6 = 14/48 = 7/24 (tank)

It will take: 1 : 7/24 = 24/7 ≈ 3.43 (hours)

Answer: 8.49cm

Step-by-step explanation:

Given Data:

Let a be no of side = 6

Therefore

d = √2 * a

d = √2 * 6

d = 1.4142 * 6

d = 8.49cm

The diagonal is 8.49cm

Answer:

The length of the diagonal of a square of length 6 cm is 6√2 cm = 8.485 cm

Step-by-step explanation:

English Translation

Determine the length of the diagonal of a square with a side of 6 cm.

Solution

Let the length of the diagonal be d.

And the length of each side of the square be s.

Note that s = 6 cm

The two sides of the square and the diagonal form a right angled triangle with the diagonal serving as the hypotenuse.

Using Pythagoras theorem, the square of the hypotenuse is equal to the sum of the individual squares of the two other sides of the right angled triangle.

d² = s² + s²

d² = 2s²

d = √(2s²)

d = s √2

note that s = 6 cm

d = 6 × √2 = 6√2 cm = 8.485 cm

Hope this Helps!!!

Answer:

The total amount of deductions Marc and Michelle are going to get is $24750.  

The taxable income of Marc and Michelle is $47750.

Further Explanation:  

Income Tax: It is the additional charge on an individual’s income which he/she needs to pay to the government. The taxable income is calculated by adding all the incomes and deducting all the deductions which an individual can claim on his/her income.  

Compute the total amount of deductions available for Marc and Michelle:  

Total Deduction Available

= Higher of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency  Exemptions  

= Higher of $12600 and $6000 + $12150 ($4050×3)  

= $12600 + $12150  

=$24750.  

Therefore, the total deductions available to Marc and Michelle are $24750.

Gross Income of Marc and Michelle

= Salary of Marc + Salary of Michelle + Interest Earned on Corporate Bonds  

= $64000 + $12000 + 500  

= $76500.  

Total Taxable Income of Marc and Michelle

= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions  

= $76500 - $2500 - $1500 - $$24750  

= $47750.  

Therefore, the total taxable income of Marc and Michelle is $47750.

Learn More:  

1.      Learn more about the tax on the profit from selling the fixed assets  

brainly.com/question/2617534  

2.      Learn more about the personal tax  

brainly.com/question/1762937  

3.      Learn more about the role of money  

brainly.com/question/12984919  

Answer details:  

Grade: Senior School  

Subject: Taxation  

Chapter: Income Tax  

Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.

happy to help ya :)

Answer:

  [tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

Answer:

Th answer is C

Step-by-step explanation:

Answer:

15.45 pints on average

46.34 pints total

Step-by-step explanation:

To find out on average how many pints he sold in those 3 days, we must first calculate how many pints per day, knowing that $ 3 is a pint.

So,

first day

3/35 = 11.67

second day:

47/3 = 15.67

third day:

57/3 = 19

then the average would be:

(11.67 + 15.67 + 19) / 3 = 15.45

That is to say that on average 15.45 pints were sold in those 3 days

Or what is equal to having sold in those 3 days 46.34 pints

Answer: Approximately 25.1 m^3

Step-by-step explanation:

The volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. We know the height, but we don't know the radius. Fortunately, we are given the circumference of the base circle.

[tex]C=2\pi r[/tex]

[tex]9=2\pi r[/tex]

[tex]r=\frac{9}{2\pi}[/tex]

Now that we have the r, we can plug it into the volume equation.

[tex]V=\pi r^2\frac{h}{3}[/tex]

[tex]V=\pi (\frac{9}{2\pi } )^2 (\frac{11.7}{3} )[/tex]

After you plug this into the calculator, you get approximately 25.1 m^3.